122001112102221 has 48 divisors (see below), whose sum is σ = 203564995216128. Its totient is φ = 69586434201600.

The previous prime is 122001112102217. The next prime is 122001112102229. The reversal of 122001112102221 is 122201211100221.

122001112102221 is a `hidden beast` number, since 1 + 220 + 0 + 1 + 11 + 210 + 2 + 221 = 666.

It is not a de Polignac number, because 122001112102221 - 2² = 122001112102217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122001112102194 and 122001112102203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122001112102229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25683580 + ... + 30060746.

It is an arithmetic number, because the mean of its divisors is an integer number (4240937400336).

Almost surely, 2^{122001112102221} is an apocalyptic number.

122001112102221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122001112102221 is a deficient number, since it is larger than the sum of its proper divisors (81563883113907).

122001112102221 is a wasteful number, since it uses less digits than its factorization.

122001112102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4393762 (or 4393759 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122001112102221 its reverse (122201211100221), we get a palindrome (244202323202442).

The spelling of 122001112102221 in words is "one hundred twenty-two trillion, one billion, one hundred twelve million, one hundred two thousand, two hundred twenty-one".